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Solve for uu.\newline∣u−3∣=3|u - 3| = 3\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineu=u = _____ or u=u = _____

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Q. Solve for uu.\newline∣u−3∣=3|u - 3| = 3\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlineu=u = _____ or u=u = _____
  1. Understand absolute value equation: Understand the absolute value equation.\newlineThe equation ∣u−3∣=3|u - 3| = 3 means that the expression inside the absolute value, u−3u - 3, is either 33 or −3-3.
  2. Solve for u when positive: Solve for u when u−3u - 3 is positive.\newlineSet u−3u - 3 equal to 33 and solve for u.\newlineu−3=3u - 3 = 3\newlineAdd 33 to both sides.\newlineu=3+3u = 3 + 3\newlineu=6u = 6
  3. Solve for uu when negative: Solve for uu when u−3u - 3 is negative.\newlineSet u−3u - 3 equal to −3-3 and solve for uu.\newlineu−3=−3u - 3 = -3\newlineAdd 33 to both sides.\newlineu=−3+3u = -3 + 3\newlineu=0u = 0

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